U-Based Sliding Mode Controller Design and Application for Nonlinear Systems

This article considers sliding mode control of a class of non-affine nonlinear discrete systems. The sliding mode controller has been designed to force the states of the nonlinear system into prescribed sliding surface and U-model control to solve non-affine controller problem. The non-affine term existed in the form of polynomial equation based on Taylor series expansion theory, and is obtained by resolving a polynomial equation. The industry process is provided to show the application of the sliding mode control method. A simulation result is provided to illustrate the feasibility and effectiveness of the proposed scheme.

[1]  Vadim I. Utkin,et al.  Adaptive sliding mode control with application to super-twist algorithm: Equivalent control method , 2013, Autom..

[2]  Quanmin Zhu,et al.  Direct design of a U-model-based generalized predictive controller for a class of non-linear (polynomial) dynamic plants , 2012, J. Syst. Control. Eng..

[3]  Nabil Derbel,et al.  Adaptive second order sliding mode control under parametric uncertainties: application to a robotic system , 2017, Int. J. Model. Identif. Control..

[4]  Yongji Wang,et al.  Input-state linearisation control for a class of SISO realisable nonlinear rational NARMAX models , 2015, Int. J. Model. Identif. Control..

[5]  Jaime A. Moreno,et al.  Strict Lyapunov Functions for the Super-Twisting Algorithm , 2012, IEEE Transactions on Automatic Control.

[6]  O. Kaynak,et al.  On the stability of discrete-time sliding mode control systems , 1987 .

[7]  Zhili Zhang,et al.  Dynamic surface adaptive integral-terminal sliding mode control for theodolite rotating systems , 2015, Int. J. Model. Identif. Control..

[8]  Chih-Chiang Cheng,et al.  Sliding mode controllers design for linear discrete-time systems with matching perturbations , 2000, Autom..

[9]  Quanmin Zhu,et al.  A pole placement controller for non-linear dynamic plants , 2002 .

[10]  Hassan Nouri,et al.  A novel observer algorithm of voltages across capacitors based on the higher sliding mode control: application to multi-cells converter , 2017, Int. J. Model. Identif. Control..

[11]  Leonid M. Fridman,et al.  Decentralised control for complex systems - an invited survey , 2014, Int. J. Model. Identif. Control..